Question

In: Statistics and Probability

The table shows the 2013 per capita total expenditure on health in 35 countries with the...

The table shows the 2013 per capita total expenditure on health in 35 countries with the highest gross domestic product in that year. Health expenditure per capita is the sum of public and private heath expenditure (in PPP, international $) divided by population. Health expenditures include the provision of health services, family‑planning activities, nutrition activities, and emergency aid designated for health but exclude the provision of water and sanitation.

Per capita total expenditure on health (international dollars)
Country Dollars Country Dollars Country Dollars
Argentina 1725 Indonesia 293 Saudi Arabia 1681
Australia 4191 Iran 1414 South Africa 1121
Austria 4885 Italy 31263126 Spain 2846
Belgium 4526 Japan 37413741 Sweden 4244
Brazil 1454 Korea, South 23982398 Switzerland 6187
Canada 4759 Malaysia 938938 Thailand 658
China 646 Mexico 10611061 Turkey 1053
Colombia 843 Netherlands 56015601 United Arab Emirates 2233
Denmark 4552 Nigeria 207207 United Kingdom 3311
France 4334 Norway 63086308 United States 9146
Germany 4812 Poland 15511551 Venezuala 656
India 215 Russia 15871587

Make a stemplot of the data after rounding to the nearest $100, so that stems are thousands of dollars and leaves are hundreds of dollars. Split the stems, placing leaves 0 to 4 on the first stem and leaves 5 to 9 on the second stem of the same value.

1) Which numbers are the leaves on the first stem associated with $3000?

A) 13

B) 22356889

C) 5689

D) 137

E) 12355789

F) 611

2) Describe the shape, center, and variability of the distribution.

3) Which country is the high outlier?

4) The distribution is _____, with a single high outlier (______ ). There seem to be two clusters of countries. The center of the distribution is about _______spent per capita. The distribution varies from about _________spent per capita to about _______spent per capita.

Solutions

Expert Solution

Value to the nearest 100

Country Dollars Country Dollars Country Dollars
Argentina 1700 Indonesia 300 Saudi Arabia 1700
Australia 4200 Iran 1400 South Africa 1100
Austria 4900 Italy 3100 Spain 2800
Belgium 4500 Japan 3700 Sweden 4200
Brazil 1500 Korea, South 2400 Switzerland 6200
Canada 4800 Malaysia 900 Thailand 700
China 600 Mexico 1100 Turkey 1100
Colombia 800 Netherlands 5600 United Arab Emirates 2200
Denmark 4600 Nigeria 200 United Kingdom 3300
France 4300 Norway 6300 United States 9100
Germany 4800 Poland 1600 Venezuala 700
India 200 Russia 1600

Stem and Leaf plot:

Stem unit = $1000

Leaf unit = $100

Stem Leaf
0 2 2 3
0 6 7 7 8 9
1 1 1 1 4
1 5 6 6 7 7
2 2 4
2 8
3 1 3
3 7
4 2 2 3
4 5 6 8 8 9
5 None
5 6
6 2 3
6 None
7 None
7 None
8 None
8 None
9 1
9 None

1) Numbers that are the leaves on the first stem associated with $3000

Answer A) 13

2) Shape = Right skewed.

Median = (35+1)/2 th value =18th value= $2200 which is the value for United Arab Emirates

Center = $2200 of United Arab Emirates

Variability = High

3) United states is the high outlier.

4) The distribution is Right-skewed, with a single high outlier (United States). There seem to be two clusters of countries. The center of the distribution is about $2200 spent per capita. The distribution varies from about $2200 spent per capita to about $2300 spent per capita.


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